The Pros And Cons Of Chemical Changes

The differential equation an equation containing the derivatives of one or more dependent variable with respect to one or more independent variable . and the differential equation stand out dramatically in Physics , Biology, and chemistry … A chemical changes lead to the formation of substances that help grow our food , make our lives more productive , a chemical change or chemical reaction is a process in which one or more pure substances are converted into one or more different pure substances , The Chemical changes take place as one substance is converted into another , it Can the conditions be altered to speed the changes up, slow them down, or perhaps reverse them , Once chemists understand the nature of one chemical change, they begin to explore the possibilities that arise from causing similar changes Chemical

The resulting reaction between the two chemicals is such that for each gram of A, 4 grams of B is used. It is observed that 30 grams of the compound C is formed in 10 minutes Determine the amount of C at time t if the rate of the reaction is proportional to the amounts of A and B remaining and if initially there are 50 grams of A and 32 grams of B. How much of the compound C is present at 15 minutes? Interpret the solution as t →∞ ?

In this example we will use the rate equation .
The rate equation: is the rate which a chemical A transforms into a second chemical B is proportional to the amount Q of A remaining untransformed at time t ,
DE= dQ/dt=KQ , K>0
Data:
A + 4B → C x(t):g X(0) = 0 , x(10)=30 , a=50g , b=32 , M=1 , N=4 , x(15)=?

Solution:

1) a - M/(M+N ) X >>> 50 - 1/5 X and 2) b - N/(M+N) X >>> 32 - 4/5 X

to find the rate at which compound C is formed is